The viewing room at a planetarium is in the shape of a hemisphere. The diameter of the hemisphere is 48 feet. What is the volume of the viewing room?

A hemisphere is half a sphere.

So, the volume of a hemisphere is the half of the volume of the complete sphere.

The formula for the volume of a sphere is:

V = (4/3) π (radius) ^3

Using π = 3.14 and radius = diameter / 2 = 50 feet / 2 = 25 feet.

You get:

V = (4/3) (3.14) (25 feet) ^3 = 65,416.7 feet^3

Answer: 65,416.7 cu. ft.